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A water tank has the shape of an inverte...

A water tank has the shape of an inverted right-circular cone with its axis vertical and vertex lower most. Its semi-vertical angle is `tan^(-1)((1)/(2))`. Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.

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The correct Answer is:
`(1)/(5pi)` m/m
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